Which expression is equivalent to |a|≤3 ?
1. a ≤ –3 or a ≥ 3
2. a ≥ –3 and a ≤ 3
3. a ≥ –3 or a ≤ 3
4. a ≤ –3 and a ≥ 3

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Explanation:

The rule is that if for some positive number k, then it can be written as the compound inequality . This is a shorthand way of writing the two inequalities combined together.

note: is the same as

From here, we replace k with 3

Therefore, turns into which breaks down further to

The keyword "and" is important as we can't pick one or the other. We must pick both and also

step-by-step explanation:

answers available in this download

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